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Square is a parallelogram with right angles and equal sides (Fig.35). A square is a particular case of a rectangle and a rhombus simultaneously; so, it has all their above mentioned properties. Trapezoid is a quadrangle, two opposite sides of which are parallel (Fig.36).
A parallelogram is a quadrilateral with two pairs of parallel sides. Equivalent conditions are that opposite sides are of equal length; that opposite angles are equal; or that the diagonals bisect each other. Parallelograms also include the square, rectangle, rhombus and rhomboid. Rectangle: all four angles are right angles. 2  An equivalent condition is that the diagonals bisect each other and are equal in length. 3  Informally: a box or oblong (including a square). 4  Square (regular quadrilateral): all four sides are of equal length (equilateral), and all four angles are right angles.